Finance

Physics

Resonance (particle physics)

Nonlinear system

Integrable system

Mathematics

Mathematical physics

Dissipative soliton

Mathematical analysis

Order (exchange)

Economics

Molecule

Quantum mechanics

Bounded function

Classical mechanics

Soliton

Journal of Physics Communications

Soliton molecules may be formed in some possible mechanisms in both theoretical and experimental aspects. In this letter, we introduce a new possible mechanism, the velocity resonant, to form soliton molecules. Under the resonant mechanism, two solitons may be formed to a kink-antikink molecule, an asymmetric soliton, a two-peak soliton and/or a far away bounded molecule depended on the selections of the wave numbers and the distance between two solitons of the molecule. The results are exhibited via three well known fifth order integrable systems which approximately solve a general fluid model that also appeared in many other physical fields. The interactions among multiple soliton molecules for these three integrable systems are elastic.

Soliton molecules and asymmetric solitons in three fifth order systems via velocity resonance